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By George Hart for the Museum of Mathematics

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Here is a weaving challenge for serious makers: Can you take a single length of wire and weave it into a 3D donut surface as shown in this image?  The two ends of the wire are joined with a small crimp, so it is all one continuous loop. This was made by Dmitri Kolzov and displayed at the European Society for Mathematics and Art Conference in Paris this past July.

kolzov wire torus Math Monday: Wire torus challenge

It can be compressed flat, but naturally springs back into the torus shape.  If you solve that and want another challenge, try making Dmitri’s springy double-sphere surface, again from a single loop of wire:

kolzov double sphere Math Monday: Wire torus challenge

More:
See all of George Hart’s Math Monday columns

Gareth Branwyn

Gareth Branwyn is a freelancer writer and the former Editorial Director of Maker Media. He is the author or editor of over a dozen books on technology, DIY, and geek culture. He is currently a contributor for Boing Boing and WINK Books. And he has a new best-of writing collection and “lazy man’s memoir,” called Borg Like Me.


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